Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 12 - Section 12.2 - Assess Your Understanding - Applying the Concepts - Page 610: 7a

Answer

$E(Both~Biological~or~Adoptive~Parents~and~Yes)=78.55$ $E(Single~Parent~or~Adoptive~Parents~and~Yes)=52.37$ $E(Parent~and~Stepparent~or~Adoptive~Parents~and~Yes)=41.89$ $E(Nonparental~Guardian~or~Adoptive~Parents~and~Yes)=26.18$ $E(Both~Biological~or~Adoptive~Parents~and~No)=71.45$ $E(Single~Parent~or~Adoptive~Parents~and~No)=47.63$ $E(Parent~and~Stepparent~or~Adoptive~Parents~and~No)=38.11$ $E(Nonparental~Guardian~or~Adoptive~Parents~and~Yes)=23.82$

Work Step by Step

$table~total=64+59+44+32+86+41+36+18=380$ $E(Both~Biological~or~Adoptive~Parents~and~Yes)=\frac{(row_1~total)(collumn_1~total)}{table~total}=\frac{(64+59+44+32)(64+86)}{380}=78.55$ $E(Single~Parent~or~Adoptive~Parents~and~Yes)=\frac{(row_1~total)(collumn_2~total)}{table~total}=\frac{(64+59+44+32)(59+41)}{380}=52.37$ $E(Parent~and~Stepparent~or~Adoptive~Parents~and~Yes)=\frac{(row_1~total)(collumn_3~total)}{table~total}=\frac{(64+59+44+32)(44+36)}{380}=41.89$ $E(Nonparental~Guardian~or~Adoptive~Parents~and~Yes)=\frac{(row_1~total)(collumn_4~total)}{table~total}=\frac{(64+59+44+32)(32+18)}{380}=26.18$ $E(Both~Biological~or~Adoptive~Parents~and~No)=\frac{(row_2~total)(collumn_1~total)}{table~total}=\frac{(86+41+36+18)(64+86)}{380}=71.45$ $E(Single~Parent~or~Adoptive~Parents~and~No)=\frac{(row_2~total)(collumn_2~total)}{table~total}=\frac{(86+41+36+18)(59+41)}{380}=47.63$ $E(Parent~and~Stepparent~or~Adoptive~Parents~and~No)=\frac{(row_2~total)(collumn_3~total)}{table~total}=\frac{(86+41+36+18)(44+36)}{380}=38.11$ $E(Nonparental~Guardian~or~Adoptive~Parents~and~Yes)=\frac{(row_2~total)(collumn_4~total)}{table~total}=\frac{(86+41+36+18)(32+18)}{380}=23.82$
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